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Finding the Fourth Proportional to 105,881.94, 146,106.32 and 63,439.38

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Solution

The fourth proportional to 105,881.94, 146,106.32 and 63,439.38 is: 87,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,881.94 : 146,106.32 = 63,439.38 : x
  2. Step 2: Convert to fraction form
    105,881.94/146,106.32 = 63,439.38/x
  3. Step 3: Cross multiply
    105,881.94x = 146,106.32 × 63,439.38
  4. Step 4: Simplify right side
    105,881.94x = 9,268,894,354.88
  5. Step 5: Solve for x
    x = 9,268,894,354.88/105,881.94
  6. Step 6: Final answer
    x = 87,539.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.